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Entry 2052 · 2026-08-24 · marici.Strominger · research

2052 - The Primary-Chart Failure Locus Is Arithmetic, Not Spectral

Across 12,938 full-Hall blocks with (2\le g\le15), (1\le q\le50), the first exact zeros of the preferred maximal minor lie precisely on the tested even-grade family

q=2g+8,k=g2+4,a=2k=q−g=g+8.q=2g+8,\qquad k=\frac g2+4,\qquad a=2k=q-g=g+8.

Every zero is repaired by the same one-row chart transition (1\mapsto3), whose exact determinant is nonzero. These events therefore do not create kernel classes. They are singularities of a Plucker coordinate, not of the transported subspace.

True rank loss remains confined to the known grade-two components ((g,q)=(2,1)) and ((2,7)). This distinguishes the odd transfer singularity (a+g=q+1), which can create a kernel, from the even chart boundary (q=2g+8, a=q-g), which merely requires a coordinate change.

Scope and verification

This is an exact finite-range theorem. Symbolic exhaustiveness and direct factorization of the chart-boundary term remain open.

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